"Brethren" frequently talk about "remembering the Lord in His death". Scripture does not. Scripture says we remember the Lord, and in so doing, we announce His death (1 Corinthians 11:23–26).
The Lord Jesus asks us to remember Him (1 Corinthians 11:24–25). That certainly includes remembering His death – the bread reminds us of His body given for us (Luke 22:19), the wine reminds us of His blood poured out for us (Luke 22:20) – but we don't remember an event, we remember a Person.
Psalm 102 is a remarkable passage, "the prayer of the afflicted". Hebrews 1:10–12 tells us that Psalm 102:24–28 (starting in the second part of v. 24) is God addressing the Son. He reminds the Son that He is eternal, He is the creator, and He won't end.
Similarly, Hebrews 1:8–9 quote Psalm 45:6–7 as addressed to the Son. So we understand that Psalm 45 is Messianic. Psalm 45 ends with the promise, "I will make thy name to be remembered throughout all generations" (Psalm 45:17).
And that brings us back to 1 Corinthians 11:23–26. As we remember the Lord, we are really fulfilling Psalm 45:17. In this generation, His name is being remembered. Think of that! God is using us to fulfill a promise He made to the Son: we are part of the remembrance of His name in all generations.